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Finding the Fourth Proportional to 383,147.84, 528,760.42 and 213,381.96

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Solution

The fourth proportional to 383,147.84, 528,760.42 and 213,381.96 is: 294,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,147.84 : 528,760.42 = 213,381.96 : x
  2. Step 2: Convert to fraction form
    383,147.84/528,760.42 = 213,381.96/x
  3. Step 3: Cross multiply
    383,147.84x = 528,760.42 × 213,381.96
  4. Step 4: Simplify right side
    383,147.84x = 112,827,934,790.02
  5. Step 5: Solve for x
    x = 112,827,934,790.02/383,147.84
  6. Step 6: Final answer
    x = 294,476.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.